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Finding the Fourth Proportional to 4,658.16, 6,986.16 and 2,712

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Solution

The fourth proportional to 4,658.16, 6,986.16 and 2,712 is: 4,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.16 : 6,986.16 = 2,712 : x
  2. Step 2: Convert to fraction form
    4,658.16/6,986.16 = 2,712/x
  3. Step 3: Cross multiply
    4,658.16x = 6,986.16 × 2,712
  4. Step 4: Simplify right side
    4,658.16x = 18,946,465.92
  5. Step 5: Solve for x
    x = 18,946,465.92/4,658.16
  6. Step 6: Final answer
    x = 4,067.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.